A new procedure is developed for computing a root of algebraic equations with real coefficients and a degree n, where n is 2, 4, 6, 10, 14 or any positive odd integer. A heuristic procedure is added to partially lift the restrictions on the degree n. The procedures are written...
The Cantor set is a compact, totally disconnected, perfect
subset of the real line. In this paper it is shown that two non-empty,
compact, totally disconnected, perfect metric spaces are homeomorphic.
Furthermore, a subset of the real line is homeomorphic
to the Cantor set if and only if it is...
It is
well
known
that
two-terminal
switching
circuits
may
be
represented
by
boolean
formulas.
Thus
the
study
of
certain
switching
circuit
problems
leads
to
the
study of
free
boolean
algebras,
in
particular
to
the
free
boolean
algebra
on
a
countably
infinite
set
of
generators.
An
abstract
characterization
of
this
algebra...
Since the advent of the modern computer there has been great interest in simulation of all types. It is not possible to simulate very large systems on computers. This thesis presents the algorithms necessary to simulate a college with respect to the academic relationship of the student with the college....
Row equivalence, equivalence, and similarity of matrices are studied; some problems concerning an extension of these relations to infinite matrices are discussed.